Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime
A one-sided phase-field model is proposed to study the dynamics of unstable interfaces of Hele-Shaw flows in the high viscosity contrast regime. The corresponding macroscopic equations are obtained by means of an asymptotic expansion from the phase-field model. Numerical integrations of the phase-fi...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/18713 |
| Acceso en línea: | https://hdl.handle.net/2445/18713 |
| Access Level: | acceso abierto |
| Palabra clave: | Dinàmica de fluids Viscositat Fluid dynamics Viscosity |
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Phase-field model of Hele-Shaw flows in the high-viscosity contrast regimeHernández Machado, AuroraLacasta Palacio, Ana MaríaMayoral, E.Corvera Poiré, EugeniaDinàmica de fluidsViscositatFluid dynamicsViscosityA one-sided phase-field model is proposed to study the dynamics of unstable interfaces of Hele-Shaw flows in the high viscosity contrast regime. The corresponding macroscopic equations are obtained by means of an asymptotic expansion from the phase-field model. Numerical integrations of the phase-field model in a rectangular Hele-Shaw cell reproduce finger competition with the final evolution to a steady-state finger.The American Physical Society201120112003info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion6 p.application/pdfhttps://hdl.handle.net/2445/18713Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.68.046310Physical Review E, 2003, vol. 68, núm. 4, p. 046310-1-046310-6http://dx.doi.org/10.1103/PhysRevE.68.046310(c) The American Physical Society, 2003info:eu-repo/semantics/openAccessoai:recercat.cat:2445/187132026-05-29T05:05:01Z |
| dc.title.none.fl_str_mv |
Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime |
| title |
Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime |
| spellingShingle |
Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime Hernández Machado, Aurora Dinàmica de fluids Viscositat Fluid dynamics Viscosity |
| title_short |
Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime |
| title_full |
Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime |
| title_fullStr |
Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime |
| title_full_unstemmed |
Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime |
| title_sort |
Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime |
| dc.creator.none.fl_str_mv |
Hernández Machado, Aurora Lacasta Palacio, Ana María Mayoral, E. Corvera Poiré, Eugenia |
| author |
Hernández Machado, Aurora |
| author_facet |
Hernández Machado, Aurora Lacasta Palacio, Ana María Mayoral, E. Corvera Poiré, Eugenia |
| author_role |
author |
| author2 |
Lacasta Palacio, Ana María Mayoral, E. Corvera Poiré, Eugenia |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Dinàmica de fluids Viscositat Fluid dynamics Viscosity |
| topic |
Dinàmica de fluids Viscositat Fluid dynamics Viscosity |
| description |
A one-sided phase-field model is proposed to study the dynamics of unstable interfaces of Hele-Shaw flows in the high viscosity contrast regime. The corresponding macroscopic equations are obtained by means of an asymptotic expansion from the phase-field model. Numerical integrations of the phase-field model in a rectangular Hele-Shaw cell reproduce finger competition with the final evolution to a steady-state finger. |
| publishDate |
2003 |
| dc.date.none.fl_str_mv |
2003 2011 2011 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/2445/18713 |
| url |
https://hdl.handle.net/2445/18713 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.68.046310 Physical Review E, 2003, vol. 68, núm. 4, p. 046310-1-046310-6 http://dx.doi.org/10.1103/PhysRevE.68.046310 |
| dc.rights.none.fl_str_mv |
(c) The American Physical Society, 2003 info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
(c) The American Physical Society, 2003 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
6 p. application/pdf |
| dc.publisher.none.fl_str_mv |
The American Physical Society |
| publisher.none.fl_str_mv |
The American Physical Society |
| dc.source.none.fl_str_mv |
Articles publicats en revistes (Física Quàntica i Astrofísica) reponame:Recercat. Dipósit de la Recerca de Catalunya instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| instname_str |
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| reponame_str |
Recercat. Dipósit de la Recerca de Catalunya |
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Recercat. Dipósit de la Recerca de Catalunya |
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1869423577925681152 |
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15,81155 |